You shouldn't baste until they are near cooked, imo. Especially if you are talking bbq sauce due to the sugar content. You will just cover them in carbon 'ey bullshit.
Cook for tenderness, then hit the grill directly and sear/baste after they are mostly cooked. That way you get them tender throughout and the outside will quickly get a little of a crisp and the baste sauce can get a little reduced.
Also, salt/season them and let them sit room temp with the salt/seasoning for at least a half hour. That will help tenderize them a little too. Will also help a little with the moisture issue.
This is all theory, btw. I haven't done this to that specific cut before.
I mean, I cook a lot, and stuff, and I am pretty confident with what I am describing, just havent done it before
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